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768138101 is a prime number
BaseRepresentation
bin101101110010001…
…101101101110101
31222112101110101022
4231302031231311
53033120404401
6204115510525
725015031453
oct5562155565
91875343338
10768138101
11364659585
121952b8445
13c31a85b3
14740339d3
154768171b
hex2dc8db75

768138101 has 2 divisors, whose sum is σ = 768138102. Its totient is φ = 768138100.

The previous prime is 768138097. The next prime is 768138131. The reversal of 768138101 is 101831867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 479172100 + 288966001 = 21890^2 + 16999^2 .

It is a cyclic number.

It is not a de Polignac number, because 768138101 - 22 = 768138097 is a prime.

It is a super-2 number, since 2×7681381012 = 1180072284415772402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768138131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384069050 + 384069051.

It is an arithmetic number, because the mean of its divisors is an integer number (384069051).

Almost surely, 2768138101 is an apocalyptic number.

It is an amenable number.

768138101 is a deficient number, since it is larger than the sum of its proper divisors (1).

768138101 is an equidigital number, since it uses as much as digits as its factorization.

768138101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 768138101 is about 27715.3044543985. The cubic root of 768138101 is about 915.8262817881.

Adding to 768138101 its reverse (101831867), we get a palindrome (869969968).

The spelling of 768138101 in words is "seven hundred sixty-eight million, one hundred thirty-eight thousand, one hundred one".